6x^2-49=-7x

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Solution for 6x^2-49=-7x equation:


Simplifying
6x2 + -49 = -7x

Reorder the terms:
-49 + 6x2 = -7x

Solving
-49 + 6x2 = -7x

Solving for variable 'x'.

Reorder the terms:
-49 + 7x + 6x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-49 + 7x + 6x2 = 0

Factor a trinomial.
(-7 + -2x)(7 + -3x) = 0

Subproblem 1

Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

Subproblem 2

Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333

Solution

x = {-3.5, 2.333333333}

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